Vertices: | 62 (20[3] + 30[4] + 12[5]) |
Faces: | 60 (darts) |
Edges: | 120 (60 short + 60 long) |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−(19−8*sqrt(5))/41) | ≈91.553403672 degrees |
Dual Solid: | Uniform Great Rhombicosidodecahedron |
(values below based on unit-edge-length Uniform Great Rhombicosidodecahedron) |
Short Edge (60): | sqrt(5*(5+sqrt(5)))/3 | ≈2.0050031833584855789 |
Long Edge (60): | sqrt(5*(85+31*sqrt(5)))/11 | ≈2.5252289586276065316 |
Dart Length: | sqrt(10*(157−31*sqrt(5)))/33 | ≈0.89730692216066848354 |
Dart Width: | (5+sqrt(5))/2 | ≈3.6180339887498948482 |
[5]-Vertex Radius (12): | sqrt(5*(5−2*sqrt(5)))/3 | ≈0.54153282705484387693 |
[3]-Vertex Radius (20): | (4*sqrt(15)−5*sqrt(3))/11 | ≈0.62106175881684373392 |
[4]-Vertex Radius (30): | sqrt(5) | ≈2.2360679774997896964 |
Edge-scribed Radius: | sqrt(2*(5−2*sqrt(5)))/2 | ≈0.51374314837300779674 |
Inscribed Radius: | sqrt(205*(19−8*sqrt(5)))/41 | ≈0.36816224220521450411 |